Ma

Positive representations

Date
Nov 14, 2019
Time
3:15 PM - 4:15 PM
Speaker
Assoc. Prof. Dr. Marcel de Jeu
Affiliation
Leiden University / University of Pretoria
Series
TUD Mathematik Oberseminar Analysis
Language
en
Main Topic
Mathematik
Host
PD Dr. A. Kalauch
Description
Many concrete spaces in analysis are Banach lattices, with natural groups acting as positive operators on them. One could even argue that such positive group representations are not less natural than unitary group representations on Hilbert spaces, but contrary to the latter, they have hardly been studied. A similar situation occurs for representations of ordered Banach algebras on Banach lattices, where a positive element of the algebra is then required to act as a positive operator. There is an elaborate theory of *_-representations of C*_-algebras, but far less is known about positive representations of ordered Banach algebras, even though such representations are not rare at all.
We shall indicate what is known about positive representations of groups and algebras, and mention some of the main problems. The results (and questions) in this lecture result from collaborations with Garth Dales, Ben de Pagter, Björn de Rijk, Yang Deng, Xingni Jiang, David Kok, Miek Messerschmidt, Dusan Radicanin, Mark Roelands, Jan Rozendaal, Frejanne Ruoff, Mayke Straatman, Tony Wickstead, and Marten Wortel.
Links

Last modified: Oct 18, 2019, 3:51:50 PM

Location

TUD Willers-Bau (WIL C129)Zellescher Weg12-1401069Dresden
Homepage
https://navigator.tu-dresden.de/etplan/wil/00

Organizer

TUD MathematikWillersbau, Zellescher Weg12-1401069Dresden
Phone
49-351-463 33376
Homepage
http://tu-dresden.de/mathematik
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